Question

Pedro has created the function f(x) = the quantity of 4x minus 3, divided by 2 to represent the number of assignments he has completed, where x represents the number of weeks in the course. Pedro discovers that using the inverse function to solve for x = 30, he can predict when he will have 30 assignments completed. Explain to Pedro how to accomplish this, using complete sentences.

Answer 1

He must change the dependence, so instead of y= 4 x - 3...etc, he must have:
x= ?/? y +...

x that depends on y. to do this, he should
a) write the function in numbers
b) re-arrange the variables and constants, by doing the same operations (add, subtract, multiply divide) on both sides

once he has "isolated" x on one side doing these steps, it is the inverse function x=f(y).